The Nichols algebra $\mathfrak{B}(V_{abe})$ and a class of combinatorial numbers
Abstract
We investigate the Nichols algebra $\mathfrak{B}(V_{abe})$ which are from the Yetter-Drinfeld category of Suzuki algebras. The $4n$ and $n^2$ dimensional Nichols algebras, first appeared in \cite{Andruskiewitsch2018}, are obtained again via a different method. And the connection between the Nichols algebra $\mathfrak{B}(V_{abe})$ and a class of combinatorial numbers on the subgroups of symmetric groups is established.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2021
- DOI:
- arXiv:
- arXiv:2103.06489
- Bibcode:
- 2021arXiv210306489S
- Keywords:
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- Mathematics - Quantum Algebra;
- 16T05;
- 16T25;
- 17B22
- E-Print:
- Page 14, comments are welcome